What are a) the ratio of the perimeters and b) the ratio of the area of the larger figure to the smaller figure?

A) 5/2 and 25/4

B) 5/2 and 7/4

C) 7/2 and 25/4

D) 7/2 and 7/4

Answer:

The ratio is 6:2:1.

Step-by-step explanation:

Let's denote:

Blue counter b

Red counter r

Yellow counter y.

There is given

r=3b (three times more red as blue) [1]

and

b=2y (twice more blue as yellow.) [2]

Now, replacing [2] to [1] gives

3*2y=r

6y=r.

Hence, the ratio is 6:2:1, because r=6y and b=2y.

Answer:

the real answer is 379in³

Answer: 390

Step-by-step explanation:

To find the surface area of the box, you need to find the area of each face of the box. So the front face is 9*14 equals 126. The side of the cube that has the lightest color is 9 times 3 equals 27. Then the last side you can see, is 3 times 14 equals 42. Because this is a rectangular prism, the front face is the same as the back face, the top face is the same as the bottom face, and the left side face is the same as the right side face. So adding all of the faces together you get 42+42+126+126+27+27=390.

Answer:

[tex]14.13[/tex]

Step-by-step explanation:

V=[tex]\frac{4}{3}[/tex][tex]\pi r^{3}[/tex]

Answer:

[tex] \displaystyle V_{ \text{sphere}} =14.13 \: \rm ft^{3} [/tex]

Step-by-step explanation:

we are given the redious of a sphere

we want to figure out the volume

remember that,

[tex] \displaystyle V_{ \text{sphere}} = \frac{4}{3} \pi {r}^{3} [/tex]

since we are given the redious we can substitute

[tex] \displaystyle V_{ \text{sphere}} = \frac{4}{3} \pi { \times 1.5}^{3} [/tex]

as the approximate value of π is given

substitute:

[tex] \displaystyle V_{ \text{sphere}} = \frac{4}{3} \times 3.14 { \times 1.5}^{3} [/tex]

we know the order of PEMDAS. Parentheses, Exponent, Multiplication or Division, Addition or substraction

so

simplify square:

[tex] \displaystyle V_{ \text{sphere}} = \frac{4}{3} \times 3.14 { \times 3.375}[/tex]

reduce fraction:

[tex] \rm\displaystyle V_{ \text{sphere}} = \frac{4}{ \cancel{ 3 \: }} \times 3.14 { \times \cancel{ 3.375}} \: ^{1.125} [/tex]

[tex] \displaystyle V_{ \text{sphere}} = 4\times 3.14 \times 1.125[/tex]

simplify multiplication:

[tex] \displaystyle V_{ \text{sphere}} =14.13[/tex]

since we cubed the redious and the redious is in feet, we of course use cubic feet

[tex] \displaystyle V_{ \text{sphere}} =14.13 \: \rm ft^{3} [/tex]

Answer:

350,000

Hope this helps !!!

Answer:

1000 / 10 = 100 strikes per second. Now, multiply by 12 to find the number of strikes that occurred. 100 * 12 = 1200 strikes in 12 seconds. Part B: Divide the number of seconds to the number of lightning strikes to find the average rate. 10 / 1000 = 0.1 seconds per strike. Now, multiply by 7250 to find the number of seconds that passed.

Step-by-step explanation:

Answer:

hope this helps .keep on learning

Answer:

hi

Step-by-step explanation:

i think so

if one jar of coffee costs y$ then 4 jars of coffee costs

4y$

have a nice day

Answer:

m∠E = 113

Step-by-step explanation:

Given that ΔDEF ≅ ΔPQR

We know that the following angles are congruent

∠D ≅ ∠P

∠E ≅ ∠Q

∠F ≅ ∠R

Now how do we know how these angles are congruent?

Well because if a triangle statement is given and the two triangles are congruent we can infer that the angles (in order) are congruent

Meaning: because D and P are the first letters of each triangle in the statement they have congruent angles if that makes sense.

So we are also given that

∠R = 13 and ∠D = 54

and we need to find ∠E

Remember like stated previously ∠R ≅ ∠F so ∠F = 13°

Now that we have found two angles in the triangle ΔDEF we can find the missing angle (∠E)

Using the triangle angle rule (the angles in a triangle add up to equal 180)

so ∠E = 180 - ∠D - ∠F

now we plug in the given information

∠E = 180 - 54 - 13

180 - 54 = 126

126 - 13 = 113

so ∠E = 113

Answer:

calculadora es muy bonita hoy

Step-by-step explanation:

Answer:

440000079

Step-by-step explanation:

Answer:

y>=-2x-5 is the answer. Just to be sure, check the points of the equation with an ordered pair shaded that should reveal if this answer is valid.

Step-by-step explanation:

Answer:

i can see the question in ascending order

Answer:

down below

Step-by-step explanation:

Since GA is the median of triangle GHI, IA and AH are equal sides. So, AH = 12.7 and IH = 12.7+12.7 = 25.4

Answer:

plz send full question

Step-by-step explanation:

according to your book

Answer: The brown family started out with 17 pairs of shoes. (11 + 6)

p - 6 = 11 (I would say this is the equation)

Step-by-step explanation:

You can solve the equation by adding +6 on both sides of the equal sign, giving you at the end p = 17

Answer: They started out with 17 and the equation was p - 6 = 11

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

840 Gallons

Step-by-step explanation:

Answer:

840 gal

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

The closed circle indicates that the -6 is included

and the arrow is going to the bigger numbers

Answer:

2.1

Step-by-step explanation:

Answer:

1008

Step-by-step explanation:

All you have to do is find what 24 percent of 4200 is.

Answer:

Area=1/2 b×h

A1=1/2×8×14

=56m²

A2=1/2 ×16×14

=112m²

therefore total area

=56+112

168m²

Answer:

∠ ADE = 59°

Step-by-step explanation:

The angles in a rectangle are right angles, then

∠ ABC = 90° , that is

4x + 15 + 13x + 7 = 90

17x + 22 = 90 ( subtract 22 from both sides )

17x = 68 ( divide both sides by 17 )

x = 4

Then

∠ CBE = 13x + 7 =  13(4) + 7 = 52 +7 = 59°

Since the sides in a rectangle are parallel then

∠ ADE = ∠ CBE ( alternate angles )

∠ ADE = 59°

Answer:

x = 23

Step-by-step explanation:

surface area of a cube = 6s²

Side length, s = x - 5

Surface area of the cube = 1944 units²

What is the value of x?

surface area of a cube = 6s²

1944 = 6(x - 5)²

1944/6 = (x - 5)²

324 = (x - 5)²

324 = x² - 10x + 25

x² - 10x + 25 - 324 = 0

x² - 10x - 299 = 0

Solve quadratic equation using factorization

(x + 13) (x - 23) = 0

x + 13 = 0 or x - 23 = 0

x = -13 or x = 23

The side length can not be negative

Therefore, x = 23

Answer:

k

Step-by-step explanation:

Answer:

Number of cm= 40 cm

Step-by-step explanation:

Giving the following information:

3 cm equals 45 kilometers

1 cm= 45 /3 = 15km

We need to determine how many centimeters represents 600 km. We will use the following formula:

Number of cm= total km / km per one cm

Number of cm= 600 / 15

Number of cm= 40 cm

Answer:

Step-by-step explanation:

Answer:

5 meters

Step-by-step explanation:

40/8=5

Answer:

area of rectangle =length ×width

40m² = 8m × width

40m²/8m = width

5m = width.